(Learning Activity Sheets for Enrichment, Remediation, or Assessment to be given on Weeks 3 and 6) Solve the following word problems using the method above.
1. Obiwan is standing at a distance of 15 m from the base of a tree. From where he is standing, he can see the top of the tree. If the tree is 15 m high and Obiwan is 1 m tall, *what is the angle of elevation of the top of the tree*?
2. A bamboo pole is leaning against a tree. If the height of the tree is 12.2 meters and the angle made by the pole and the ground is 40°, *what is the length of the pole*?
3. According to a lighting specialist for an art gallery, for best illumination of a piece of art, it is recommended that a ceiling-mounted light be 1.8 m from the piece of art and that the angle of depression of the art piece be 38°.
How far from the wall should the light be placed so that the recommendations of the specialist are met? *Give your answer to the nearest tenth of a meter*
Answers & Comments
Answer:
1)The angle of elevation of the top of the tree is 43°
2)The length of the pole is 18.98 meters
3) The light should be 14.2m far from the wall so that the recommendations of the specialist are met.
Pls click the picture above for solution and explanation
Hope this helps